Answer:
$110
Step-by-step explanation:
Let the fixed amount charged be f and the amount charged to clean a room be r.
To clean six rooms , the company would charge the following, the fixed amount for the call plus the amount charged per room multiplied by 6 which of course is 6r.
Writing this in equation form,
f + 6r = 250
In likewise manner, same applies for 8 rooms.
this gives f + 8r = 320
We now have 2 equations that we will need to solve simultaneously
f + 6r = 250........(i)
f + 8r = 320........(ii)
We subtract equation ii from I to yield
2r = 70, hence r = 70/2 = 35.
We now substitute this in equation 1
f + 6(35) = 250
f + 210 = 250
f = 250 - 210 = 40
Hence, we now know that the amount charged per call is $40 while the amount charged to clean a room is $35.
We now calculate the amount charged by the company to clean 2 rooms.
This is mathematically = f + 2r
40 + 2(35) = $110.
Answer:
93x51=4743 (the picture shows how I multiplied it)
Answer:
Both prisms have the same volume.
Step-by-step explanation:
<u>Volume of Naomi's Prism:</u>
5 x 2 x 14 = 140
<u>Volume of Ben's Prism</u><u>:</u>
(5 x 4) / 2 x 14 = 10 x 14 = 140
They therefore have the same volume.
Answer:
11) 5.6 cm^2 c) 12) 32.4 inches^2 a)
Step-by-step explanation:
11) The formula to find the area of a triangle is bh/2, so now we need to find the lengths of the base and height to apply the formula.
We can see that the height is 2.8 cm and the base is 4 cm. Applying the formula for the area of a triangle we have:
bh/2 plugging 2.8 and 4 in
= 4*2.8/2 simplifying
= 11.2/2 dividing
= 5.6 cm^2
Therefore the area of the triangle is 5.6 cm^2.
12) We can see that this figure is a 4 sided shape but we can also see that we can separate this shape into two shapes and calculate the area. See image.
We can cut this shape with a line to give us a triangle and a rectangle, which will enable us to solve for the area of the triangle and rectangle then we can add the areas up giving us the total area of the shape.
The triangle first we know that the base of the triangle is 4 inches because the the width of the rectangle is 4 inches too. But now we need to find the height of the triangle we can do this by subtracting 5.2 inches from 11 inches because the height of the triangle is the length of the shape itself subtracted by the length of the new rectangle that we made.
11 - 5.2 = 5.8 inches.
This gives us the height of the triangle, now we can calculate for the area using the formula bh/2. Plugging the base and height in we have:
bh/2
= 4*5.8/2 simplifying
= 23.2/2 dividing
= 11.6 inches^2..
Now we can calculate for the area of the rectangle using the measurements we already know which is the length and width of the rectangle. We know that the length is 5.2 inches and the width is 4 inches. So, we can not calculate for the area using the formula lw. Substituting 5.2 inches for the length and 4 inches for the width.\
lw
= 5.2*4 simplifying
= 20.8 inches^2.
Now we can add the area of the triangle and the rectangle together which will give us the total area of the shape.
20.8 + 11.6
= 32.4 + inches^2.
Therefore the area of the figure is 32.4 + inches^2.
You could use the keep change flip method. You keep the 5/8, change the division sign to a multiplication sign, and flip the 16. 16 can also be written as 16/1, because it is the equivalent to 16. You flip it to 1/16. Then do the math.
5/8 x 1/16=5/128.
Hope it helped! If not, tell me what went wrong.